A lake initially contains 2000 fish. Suppose that in the absence of predators or other causes of removal, the fish population increases by 5% each month. However, factoring in all causes, 400 fish are lost each month. How many fish will be in the pond after 5 months? (Don't round until the very end.)

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

Find the volume of the solid bounded by the plane z=0 and the paraboloid z=1-x^2 –y^2

Given that s is the centroid of triangle mno, find sq.